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1306055026440 = 233253627930629
BaseRepresentation
bin10011000000010110111…
…100100010011100001000
311121212011012221122222200
4103000112330202130020
5132344300041321230
62435554323520200
7163234155360603
oct23002674423410
94555135848880
101306055026440
1146399301717a
12191157229060
13962116bb418
14472db7dd33a
1523e907cc160
hex13016f22708

1306055026440 has 48 divisors (see below), whose sum is σ = 4244678837100. Its totient is φ = 348281340288.

The previous prime is 1306055026439. The next prime is 1306055026447. The reversal of 1306055026440 is 446205506031.

1306055026440 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 5 + 5 + 0 + 2 + 644 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1182225639204 + 123829387236 = 1087302^2 + 351894^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1306055026395 and 1306055026404.

It is not an unprimeable number, because it can be changed into a prime (1306055026447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1813964955 + ... + 1813965674.

Almost surely, 21306055026440 is an apocalyptic number.

1306055026440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306055026440 is an abundant number, since it is smaller than the sum of its proper divisors (2938623810660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306055026440 is a wasteful number, since it uses less digits than its factorization.

1306055026440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627930646 (or 3627930639 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1306055026440 in words is "one trillion, three hundred six billion, fifty-five million, twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3627930629 7255861258 10883791887 14511722516 18139653145 21767583774 29023445032 32651375661 36279306290 43535167548 54418959435 65302751322 72558612580 87070335096 108837918870 130605502644 145117225160 163256878305 217675837740 261211005288 326513756610 435351675480 653027513220 1306055026440